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Nonlinear Programming Techniques for Equilibria

By: Giancarlo Bigi,Marco Castellani,Massimo Pappalardo,Mauro Passacantando

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Nonlinear Programming Techniques for Equilibria

By: Giancarlo Bigi,Marco Castellani,Massimo Pappalardo,Mauro Passacantando

This book considers a range of problems in operations research, which are formulated through various mathematical models such as complementarity, variational inequalities, multiobjective optimization, fixed point problems, noncooperative games and inverse optimization. Moreover, the book subsumes all these models under a common structure that allows them to be formulated in a unique format: the Ky Fan inequality. It subsequently focuses on this unifying equilibrium format, providing a comprehensive overview of the main theoretical results and solution algorithms, together with a wealth of applications and numerical examples. Particular emphasis is placed on the role of nonlinear optimization techniques – e.g. convex optimization, nonsmooth calculus, proximal point and descent algorithms – as valuable tools for analyzing and solving Ky Fan inequalities.

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Page Count

127

Publisher

Springer

Published Date

ISBN 10

3030002055

ISBN 13

9783030002053

Nonlinear Programming Techniques for Equilibria

By: Giancarlo Bigi,Marco Castellani,Massimo Pappalardo,Mauro Passacantando

Write a review Read reviews Take a Quiz Solve Book Puzzle

Nonlinear Programming Techniques for Equilibria

By: Giancarlo Bigi,Marco Castellani,Massimo Pappalardo,Mauro Passacantando

This book considers a range of problems in operations research, which are formulated through various mathematical models such as complementarity, variational inequalities, multiobjective optimization, fixed point problems, noncooperative games and inverse optimization. Moreover, the book subsumes all these models under a common structure that allows them to be formulated in a unique format: the Ky Fan inequality. It subsequently focuses on this unifying equilibrium format, providing a comprehensive overview of the main theoretical results and solution algorithms, together with a wealth of applications and numerical examples. Particular emphasis is placed on the role of nonlinear optimization techniques – e.g. convex optimization, nonsmooth calculus, proximal point and descent algorithms – as valuable tools for analyzing and solving Ky Fan inequalities.

Average ratings

N/A

5

0%

4

0%

3

0%

2

0%

1

0%

Solve jigsaw puzzle

Age

Page Count

127

Publisher

Springer

Published Date

ISBN 10

3030002055

ISBN 13

9783030002053